73671591125 has 36 divisors (see below), whose sum is σ = 101106186636. Its totient is φ = 53555062000.

The previous prime is 73671591107. The next prime is 73671591137. The reversal of 73671591125 is 52119517637.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2357490916 + 71314100209 = 48554^2 + 267047^2 .

It is not a de Polignac number, because 73671591125 - 2¹⁰ = 73671590101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73671591125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33379772 + ... + 33381978.

Almost surely, 2^73671591125 is an apocalyptic number.

It is an amenable number.

73671591125 is a deficient number, since it is larger than the sum of its proper divisors (27434595511).

73671591125 is an frugal number, since it uses more digits than its factorization.

73671591125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 2223 counting only the distinct ones).

The product of its digits is 396900, while the sum is 47.

The spelling of 73671591125 in words is "seventy-three billion, six hundred seventy-one million, five hundred ninety-one thousand, one hundred twenty-five".